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Jim Kelley wrote:
You claim there's power in the canceled waves. That is a false statement and you are either totally confused or bearing your usual false witness. I have never claimed that there is power in the canceled waves *after* they cancel, only that there was energy in them *before* cancellation took place. The HP ApNote 95-1 on s-parameters agrees with me. b1 = s11*a1 + s12*a2 now square both sides |b1|^2 is the reflected power |s11|^2 is the power reflection coefficient |a1|^2 is the forward power |s12|^2 is the power transmission coefficient |a2|^2 is the reflected power It's obvious that you don't understand the HP ApNote. There's zero energy in the total superposed wave after cancellation. There was energy in the two waves before they were superposed. That energy cannot be destroyed no matter how loudly you complain. It is more than apparent that you detest the conservation of energy principle because it works against your argument. But as they say in Russia, tough ****sky. When two waves are canceled, their energy components are redistributed to another area. In a transmission line, with only two directions possible, their energy components are redistributed in the other direction from their original direction of flow. What is it about the Melles Groit and FSU web pages that you don't understand and what is it about the following that you don't understand? "The waves' energies simply add together. In places where the interference is destructive, one wave cancels out the other. (up + down = nothing.) Where it is constructive, however, they reinforce each other (up + up = 2 * up, down + down = 2 * down.) That is all there is to it." Richard E. Barrans Jr., Ph.D. Assistant Director PG Research Foundation, Darien, Illinois P3 + P4 - 2*SQRT(P3*P4) = 0 = nothing P1 + P2 + 2*SQRT(P1*P2) = 2P1 + 2P2 That is all there is to it. -- 73, Cecil http://www.w5dxp.com |
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